body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

Practice Test

Continue to next subchapter

Exercise 10 Page 134

The sum of the measures of the interior angles of a polygon is (n-2)180, where n represents the number of sides.

120^(∘)

We are asked to find the measure of each interior angle of the given regular polygon.

Let's start by recalling the rule for the sum of the measures of the interior angles of a polygon.

Interior Angle Sum of a Polygon
The sum of the measures of the interior angles of a polygon is (n-2)180, where n represents the number of sides.

To find the measure of one interior angle of a regular hexagon, we will start by finding the sum of its interior angles. Let's substitute 6 for n in this expression.

(n-2)180

n= 6

( 6-2)180

▼

Evaluate

Subtract term

(4)180

Multiply

720

The sum of the interior angles of a hexagon is 720^(∘). Now, recall that a regular polygon is a polygon in which all the angles have the same measure. Therefore, a regular hexagon has 6 angles with the same measure. To find the measure of one angle, we will divide the sum of the angles by 6. Sum of Angles:& 720^(∘) [0.5em] One Angle:& 720^(∘)/6=120^(∘)

Subchapter links

Exercises